## Conic Sections

Conic sections are graceful curves that can be defined in several ways and constructed by a wide variety of means. Most importantly, when a plane intersects a cone, the outline of a conic section results. This book will attempt the observation and manipulation of conic sections via their many definitions. |

## Contents

### Conic Sections Introduction

### Types of Conic Sections

- General Conic Sections
- The Circle
- The Ellipse
- The Parabola
- The Hyperbola
- Lines and Points: Degenerate Conic Sections

### Features of Conic Sections

- Foci of Conic Sections
- Conic Sections as Loci
- Eccentricity

### Conic Sections as Algebraic Relations

- Intercepts of Conic Sections
- Translation of Axes
- Rotation of Axes
- Rotation of Axes (examples)
- Slopes of Conic Sections

### Other Systems

- Conic Sections in Polar Coordinates
- Parametric Forms of Conic Sections

### Example Problems

- The Ellipse
- The Parabola
- The Hyperbola
- Identifying Conics
- Rotating Conics

### Conclusion

- Concluding Remarks
- Acknowledgements and Further Reading

A reader requests expansion of this book to include more material.You can help by adding new material ( learn how) or ask for assistance in the reading room. |